Distributionally chaotic families of operators on Fréchet spaces
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Other documents of the author: Conejero, J. Alberto; Kostić, Marko; Miana, Pedro J.; murillo arcila, marina
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Distributionally chaotic families of operators on Fréchet spacesDate
2016Publisher
American Institute of Mathematical SciencesISSN
1534-0392; 1553-5258Bibliographic citation
CONEJERO, J. ALBERTO, et al. Distributionally chaotic families of operators on Fréchet spaces. Communications on Pure and Applied Analysis, 2016, vol. 15, no 5, p. 1915-1939Type
info:eu-repo/semantics/articlePublisher version
http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12699Version
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Abstract
The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C0-semigroups. In this paper we extend some previous results on ... [+]
The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C0-semigroups. In this paper we extend some previous results on both notions to sequences of operators, C0-semigroups, C-regularized semigroups, and α-times integrated semigroups on Fréchet spaces. We also add a study of rescaled distributionally chaotic C0-semigroups. Some examples are provided to illustrate all these results. [-]
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Communications on Pure and Applied Analysis, 2016, vol. 15, no 5Rights
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